Wasylkiwskyj, Wasyl; Kopriva, Ivica (2009) Second and Fourth Order Statistics Based Reduced Polynomial Rooting Direction Finding Algorithms. Signal Processing, 89 (6). pp. 10501060. ISSN 01651684

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Abstract
Polynomial rooting direction finding (DF) algorithms are a computationally efficient alternative to search based DF algorithms and are particularly suitable for uniform linear arrays (ULA) of physically identical elements provided mutual interaction among the array elements can be either neglected or compensated for. A popular polynomial rooting algorithm is Root MUSIC (RM) wherein, for an Nelement array, the estimation of the Directions Of Arrivals (DOA) requires the computation of the roots of a 2N2 order polynomial for a second order (SO) statistics, and a 4N4 order polynomial for a fourth order (FO) statistics based approach, wherein the DOA are estimated from L pairs of roots closest to the unit circle, when L signals are incident on the array. We derive SO and FO statistics reduced polynomial rooting (RPR) algorithms capable to estimate L DOA from L roots only. We demonstrate numerically that the RPR algorithms are at least as accurate as the RM algorithms. Simplified algebraic structure of RPR algorithms leads to better performance than afforded by RM algorithms in saturated array environment, especially in the case of fourth order methods when number of incident signals exceeds number of elements, and under low SNR and/or small sample size conditions.
Item Type:  Article  

Uncontrolled Keywords:  Direction finding; Polynomial rooting algorithms; Second order statistics; Fourth order statistics  
Subjects:  NATURAL SCIENCES > Mathematics > Applied Mathematics and Mathematical Modeling TECHNICAL SCIENCES > Electrical Engineering > Radio Communications TECHNICAL SCIENCES > Computing > Data Processing 

Divisions:  Division of Laser and Atomic Research and Development  
Projects: 


Depositing User:  Ivica Kopriva  
Date Deposited:  03 Dec 2015 13:16  
Last Modified:  03 Dec 2015 13:16  
URI:  http://fulir.irb.hr/id/eprint/2383  
DOI:  10.1016/j.sigpro.2008.12.004 
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